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 Csch

 http://functions.wolfram.com/01.23.21.0155.01

 Input Form

 Integrate[Tanh[z] (Cosh[z] + Csch[z]), z] == 2 ArcTan[Tanh[z/2]] + Cosh[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["Tanh", "[", "z", "]"]], RowBox[List["(", RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "+", RowBox[List["Csch", "[", "z", "]"]]]], ")"]], " ", RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List["2", " ", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox["z", "2"], "]"]], "]"]]]], "+", RowBox[List["Cosh", "[", "z", "]"]]]]]]]]

 MathML Form

 tanh ( z ) ( cosh ( z ) + csch ( z ) ) z 2 tan - 1 ( tanh ( z 2 ) ) + cosh ( z ) z z z z 2 z 2 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "z_", "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["Cosh", "[", "z_", "]"]], "+", RowBox[List["Csch", "[", "z_", "]"]]]], ")"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["2", " ", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox["z", "2"], "]"]], "]"]]]], "+", RowBox[List["Cosh", "[", "z", "]"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2002-12-18